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Finding the Fourth Proportional to 9,209.84, 12,709.79 and 5,433.93

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Solution

The fourth proportional to 9,209.84, 12,709.79 and 5,433.93 is: 7,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.84 : 12,709.79 = 5,433.93 : x
  2. Step 2: Convert to fraction form
    9,209.84/12,709.79 = 5,433.93/x
  3. Step 3: Cross multiply
    9,209.84x = 12,709.79 × 5,433.93
  4. Step 4: Simplify right side
    9,209.84x = 69,064,082.01
  5. Step 5: Solve for x
    x = 69,064,082.01/9,209.84
  6. Step 6: Final answer
    x = 7,498.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.